1011211311 has 16 divisors (see below), whose sum is σ = 1484604288. Its totient is φ = 607125600.

The previous prime is 1011211303. The next prime is 1011211321. The reversal of 1011211311 is 1131121101.

It is not a de Polignac number, because 1011211311 - 2³ = 1011211303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011211321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139660 + ... + 146721.

It is an arithmetic number, because the mean of its divisors is an integer number (92787768).

Almost surely, 2^1011211311 is an apocalyptic number.

1011211311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1011211311 is a deficient number, since it is larger than the sum of its proper divisors (473392977).

1011211311 is a wasteful number, since it uses less digits than its factorization.

1011211311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286502.

The product of its (nonzero) digits is 6, while the sum is 12.

The square root of 1011211311 is about 31799.5489118950. The cubic root of 1011211311 is about 1003.7232240650.

Adding to 1011211311 its reverse (1131121101), we get a palindrome (2142332412).

The spelling of 1011211311 in words is "one billion, eleven million, two hundred eleven thousand, three hundred eleven".